Long time dynamics for a damped Benjamin-Bona-Mahony equation in low regularity spaces

被引：24
|
作者：
Wang, Ming [1 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 105卷
关键词：
Benjamin-Bona-Mahony equation; Global attractor; Fractal dimension; GLOBAL ATTRACTOR; WELL-POSEDNESS; WAVE-EQUATION; INITIAL-VALUE; KDV EQUATION; EXISTENCE; BEHAVIOR;
D O I：
10.1016/j.na.2014.04.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Long time behavior of solutions for a dampedBBMequation in low regularity space is investigated. By the I-method and high-low frequency decomposition, we prove the existence of a global attractor in L-2 if the force belongs to L-2. Moreover, we show that the global attractor has finite fractal dimension in the sharp regularity space H-2. (C) 2014 Published by Elsevier Ltd.
引用
收藏
页码：134 / 144
页数：11
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